



from __future__ import annotations

import math



def 		lowerCAmelCase__     (       UpperCamelCase_					:							Any			,							UpperCamelCase_					:							Union[str, Any]						)->	str:
    if len(lowerCamelCase_						) != 2 or len(a[0]						) != 2 or len(lowerCamelCase_						) != 2 or len(b[0]						) != 2:
        raise Exception('''Matrices are not 2x2'''						)
    A__					=       [
        [a[0][0] * b[0][0] + a[0][1] * b[1][0], a[0][0] * b[0][1] + a[0][1] * b[1][1]],
        [a[1][0] * b[0][0] + a[1][1] * b[1][0], a[1][0] * b[0][1] + a[1][1] * b[1][1]],
    ]
    return new_matrix



def 		lowerCAmelCase__     (       UpperCamelCase_					:							int			,							UpperCamelCase_					:							Optional[Any]						)->	List[str]:
    return [
        [matrix_a[row][col] + matrix_b[row][col] for col in range(len(matrix_a[row]						)						)]
        for row in range(len(lowerCamelCase_						)						)
    ]



def 		lowerCAmelCase__     (       UpperCamelCase_					:							Optional[int]			,							UpperCamelCase_					:							Optional[int]						)->	List[str]:
    return [
        [matrix_a[row][col] - matrix_b[row][col] for col in range(len(matrix_a[row]						)						)]
        for row in range(len(lowerCamelCase_						)						)
    ]



def 		lowerCAmelCase__     (       UpperCamelCase_					:							Optional[Any]						)->	Any:
    if len(lowerCamelCase_						) % 2 != 0 or len(a[0]						) % 2 != 0:
        raise Exception('''Odd matrices are not supported!'''						)

    A__					=       len(lowerCamelCase_						)
    A__					=       matrix_length // 2

    A__					=       [[a[i][j] for j in range(lowerCamelCase_			,							lowerCamelCase_						)] for i in range(lowerCamelCase_						)]
    A__					=       [
        [a[i][j] for j in range(lowerCamelCase_			,							lowerCamelCase_						)] for i in range(lowerCamelCase_			,							lowerCamelCase_						)
    ]

    A__					=       [[a[i][j] for j in range(lowerCamelCase_						)] for i in range(lowerCamelCase_						)]
    A__					=       [[a[i][j] for j in range(lowerCamelCase_						)] for i in range(lowerCamelCase_			,							lowerCamelCase_						)]

    return top_left, top_right, bot_left, bot_right



def 		lowerCAmelCase__     (       UpperCamelCase_					:							Any						)->	Any:
    return len(lowerCamelCase_						), len(matrix[0]						)



def 		lowerCAmelCase__     (       UpperCamelCase_					:							List[Any]						)->	int:
    print('''\n'''.join(str(lowerCamelCase_						) for line in matrix						)						)



def 		lowerCAmelCase__     (       UpperCamelCase_					:							Union[str, Any]			,							UpperCamelCase_					:							int						)->	Any:
    if matrix_dimensions(lowerCamelCase_						) == (2, 2):
        return default_matrix_multiplication(lowerCamelCase_			,							lowerCamelCase_						)

    A__					=       split_matrix(lowerCamelCase_						)
    A__					=       split_matrix(lowerCamelCase_						)

    A__					=       actual_strassen(lowerCamelCase_			,							matrix_subtraction(lowerCamelCase_			,							lowerCamelCase_						)						)
    A__					=       actual_strassen(matrix_addition(lowerCamelCase_			,							lowerCamelCase_						)			,							lowerCamelCase_						)
    A__					=       actual_strassen(matrix_addition(lowerCamelCase_			,							lowerCamelCase_						)			,							lowerCamelCase_						)
    A__					=       actual_strassen(lowerCamelCase_			,							matrix_subtraction(lowerCamelCase_			,							lowerCamelCase_						)						)
    A__					=       actual_strassen(matrix_addition(lowerCamelCase_			,							lowerCamelCase_						)			,							matrix_addition(lowerCamelCase_			,							lowerCamelCase_						)						)
    A__					=       actual_strassen(matrix_subtraction(lowerCamelCase_			,							lowerCamelCase_						)			,							matrix_addition(lowerCamelCase_			,							lowerCamelCase_						)						)
    A__					=       actual_strassen(matrix_subtraction(lowerCamelCase_			,							lowerCamelCase_						)			,							matrix_addition(lowerCamelCase_			,							lowerCamelCase_						)						)

    A__					=       matrix_addition(matrix_subtraction(matrix_addition(lowerCamelCase_			,							lowerCamelCase_						)			,							lowerCamelCase_						)			,							lowerCamelCase_						)
    A__					=       matrix_addition(lowerCamelCase_			,							lowerCamelCase_						)
    A__					=       matrix_addition(lowerCamelCase_			,							lowerCamelCase_						)
    A__					=       matrix_subtraction(matrix_subtraction(matrix_addition(lowerCamelCase_			,							lowerCamelCase_						)			,							lowerCamelCase_						)			,							lowerCamelCase_						)

    # construct the new matrix from our 4 quadrants
    A__					=       []
    for i in range(len(lowerCamelCase_						)						):
        new_matrix.append(top_left[i] + top_right[i]						)
    for i in range(len(lowerCamelCase_						)						):
        new_matrix.append(bot_left[i] + bot_right[i]						)
    return new_matrix



def 		lowerCAmelCase__     (       UpperCamelCase_					:							List[str]			,							UpperCamelCase_					:							Optional[Any]						)->	Union[str, Any]:
    if matrix_dimensions(lowerCamelCase_						)[1] != matrix_dimensions(lowerCamelCase_						)[0]:
        A__					=       (
            '''Unable to multiply these matrices, please check the dimensions.\n'''
            f"Matrix A: {matrixa}\n"
            f"Matrix B: {matrixa}"
        )
        raise Exception(lowerCamelCase_						)
    A__					=       matrix_dimensions(lowerCamelCase_						)
    A__					=       matrix_dimensions(lowerCamelCase_						)

    if dimensiona[0] == dimensiona[1] and dimensiona[0] == dimensiona[1]:
        return [matrixa, matrixa]

    A__					=       max(*lowerCamelCase_			,							*lowerCamelCase_						)
    A__					=       int(math.pow(2			,							math.ceil(math.loga(lowerCamelCase_						)						)						)						)
    A__					=       matrixa
    A__					=       matrixa

    # Adding zeros to the matrices so that the arrays dimensions are the same and also
    # power of 2
    for i in range(0			,							lowerCamelCase_						):
        if i < dimensiona[0]:
            for _ in range(dimensiona[1]			,							lowerCamelCase_						):
                new_matrixa[i].append(0						)
        else:
            new_matrixa.append([0] * maxim						)
        if i < dimensiona[0]:
            for _ in range(dimensiona[1]			,							lowerCamelCase_						):
                new_matrixa[i].append(0						)
        else:
            new_matrixa.append([0] * maxim						)

    A__					=       actual_strassen(lowerCamelCase_			,							lowerCamelCase_						)

    # Removing the additional zeros
    for i in range(0			,							lowerCamelCase_						):
        if i < dimensiona[0]:
            for _ in range(dimensiona[1]			,							lowerCamelCase_						):
                final_matrix[i].pop()
        else:
            final_matrix.pop()
    return final_matrix


if __name__ == "__main__":
   _lowercase    	=		[
       [2, 3, 4, 5],
       [6, 4, 3, 1],
       [2, 3, 6, 7],
       [3, 1, 2, 4],
       [2, 3, 4, 5],
       [6, 4, 3, 1],
       [2, 3, 6, 7],
       [3, 1, 2, 4],
       [2, 3, 4, 5],
       [6, 2, 3, 1],
   ]
   _lowercase    	=		[[0, 2, 1, 1], [16, 2, 3, 3], [2, 2, 7, 7], [13, 11, 22, 4]]
   print(strassen(matrixa, matrixa))



import importlib
import os

import fsspec
import pytest
from fsspec import register_implementation
from fsspec.registry import _registry as _fsspec_registry

from datasets.filesystems import COMPRESSION_FILESYSTEMS, HfFileSystem, extract_path_from_uri, is_remote_filesystem

from .utils import require_lza, require_zstandard






def        snake_case__		(    lowerCamelCase_		):
							assert "mock" in _fsspec_registry
							assert "bz2" in _fsspec_registry






def        snake_case__		(    ):
							assert "mock" not in _fsspec_registry
							assert "bz2" in _fsspec_registry






def        snake_case__		(    ):
							A      :					List[Any]      		=					'''mock-s3-bucket'''
							A      :					Union[str, Any]      		=					F's3://{mock_bucket}'
							A      :					str      		=					extract_path_from_uri(lowerCamelCase_		)
							assert dataset_path.startswith('''s3://'''		) is False

							A      :					Tuple      		=					'''./local/path'''
							A      :					Tuple      		=					extract_path_from_uri(lowerCamelCase_		)
							assert dataset_path == new_dataset_path






def        snake_case__		(    lowerCamelCase_		):
							A      :					int      		=					is_remote_filesystem(lowerCamelCase_		)
							assert is_remote is True

							A      :					Dict      		=					fsspec.filesystem('''file'''		)

							A      :					Tuple      		=					is_remote_filesystem(lowerCamelCase_		)
							assert is_remote is False






@pytest.mark.parametrize('''compression_fs_class'''     ,				lowerCamelCase_		)
def        snake_case__		(    lowerCamelCase_     ,				lowerCamelCase_     ,				lowerCamelCase_     ,				lowerCamelCase_     ,				lowerCamelCase_     ,				lowerCamelCase_     ,				lowerCamelCase_		):
							A      :					List[str]      		=					{'''gzip''': gz_file, '''xz''': xz_file, '''zstd''': zstd_file, '''bz2''': bza_file, '''lz4''': lza_file}
							A      :					List[Any]      		=					input_paths[compression_fs_class.protocol]
							if input_path is None:
														A      :					int      		=					F'for \'{compression_fs_class.protocol}\' compression protocol, '
														if compression_fs_class.protocol == "lz4":
																					reason += require_lza.kwargs["reason"]
														elif compression_fs_class.protocol == "zstd":
																					reason += require_zstandard.kwargs["reason"]
														pytest.skip(lowerCamelCase_		)
							A      :					Dict      		=					fsspec.filesystem(compression_fs_class.protocol     ,				fo=lowerCamelCase_		)
							assert isinstance(lowerCamelCase_     ,				lowerCamelCase_		)
							A      :					str      		=					os.path.basename(lowerCamelCase_		)
							A      :					str      		=					expected_filename[: expected_filename.rindex('''.'''		)]
							assert fs.glob('''*'''		) == [expected_filename]
							with fs.open(lowerCamelCase_     ,				'''r'''     ,				encoding='''utf-8'''		) as f, open(lowerCamelCase_     ,				encoding='''utf-8'''		) as expected_file:
														assert f.read() == expected_file.read()






@pytest.mark.parametrize('''protocol'''     ,				['''zip''', '''gzip''']		)
def        snake_case__		(    lowerCamelCase_     ,				lowerCamelCase_     ,				lowerCamelCase_		):
							A      :					Union[str, Any]      		=					{'''zip''': zip_jsonl_path, '''gzip''': jsonl_gz_path}
							A      :					int      		=					compressed_file_paths[protocol]
							A      :					List[str]      		=					'''dataset.jsonl'''
							A      :					List[str]      		=					F'{protocol}://{member_file_path}::{compressed_file_path}'
							A		,		*A      :					List[Any]      		=					fsspec.get_fs_token_paths(lowerCamelCase_		)
							assert fs.isfile(lowerCamelCase_		)
							assert not fs.isfile('''non_existing_''' + member_file_path		)






@pytest.mark.integration
def        snake_case__		(    lowerCamelCase_     ,				lowerCamelCase_     ,				lowerCamelCase_     ,				lowerCamelCase_		):
							A      :					List[Any]      		=					hf_api.dataset_info(lowerCamelCase_     ,				token=lowerCamelCase_		)
							A      :					List[str]      		=					HfFileSystem(repo_info=lowerCamelCase_     ,				token=lowerCamelCase_		)
							assert sorted(hffs.glob('''*'''		)		) == [".gitattributes", "data"]
							assert hffs.isdir('''data'''		)
							assert hffs.isfile('''.gitattributes'''		) and hffs.isfile('''data/text_data.txt'''		)
							with open(lowerCamelCase_		) as f:
														assert hffs.open('''data/text_data.txt'''     ,				'''r'''		).read() == f.read()






def        snake_case__		(    ):
							A      :					Tuple      		=					'''bz2'''

							# Import module
							import datasets.filesystems

							# Overwrite protocol and reload
							register_implementation(lowerCamelCase_     ,				lowerCamelCase_     ,				clobber=lowerCamelCase_		)
							with pytest.warns(lowerCamelCase_		) as warning_info:
														importlib.reload(datasets.filesystems		)

							assert len(lowerCamelCase_		) == 1
							assert (
							    str(warning_info[0].message		)
							    == F'A filesystem protocol was already set for {protocol} and will be overwritten.'
							)






